Methioninase Cell-Cycle Trap Cancer Chemotherapy

2019 ◽  
pp. 133-148
Author(s):  
Robert M. Hoffman ◽  
Shuya Yano ◽  
Kentaro Igarashi
Keyword(s):  
Cell Cycle ◽  
Cancer Chemotherapy

ANALYSIS OF A CELL-CYCLE SPECIFIC MODEL FOR CANCER CHEMOTHERAPY

2002 ◽  
Vol 10 (03) ◽  
pp. 183-206 ◽  
Author(s):  
URSZULA LEDZEWICZ ◽  
HEINZ SCHÄTTLER
Keyword(s):  
Cell Cycle ◽  
Cancer Chemotherapy ◽  
Three Dimensional ◽  
Sufficient Conditions ◽  
Cumulative Effect ◽  
Bilinear System ◽  
Blocking Agent ◽  
Specific Model ◽  
Drug Dose ◽  
Three Dimensional Model

A class of mathematical models for cancer chemotherapy which has been described in the literature takes the form of an optimal control problem with dynamics given by a bilinear system. In this paper we analyze a three-dimensional model in which the cell-cycle is broken into three compartments. The cytostatic agent used as control to kill the cancer cells is active in a compartment which combines the second growth phase and mitosis where cell-division occurs. A blocking agent is used as a second control to slow down the transit of cells during synthesis, but does not kill cells. The cumulative effect of the killing agent is used to model the negative effect of the treatment on healthy cells. It is shown that singular controls are not optimal. This eliminates treatments where during some time only a portion of the full drug dose is administered. Consequently only treatments which alternate between a full and no dose, i.e., so-called bang-bang controls, canbe optimal for this model. Both necessary and sufficient conditions for optimality of treatment schedules of this type are given.

scholarly journals Cell cycle control and cancer chemotherapy

1994 ◽  
Vol 54 (4) ◽  
pp. 440-452 ◽  
Author(s):  
Kurt W. Kohn ◽  
Joany Jackman ◽  
Patrick M. O'Connor
Keyword(s):  
Cell Cycle ◽  
Cancer Chemotherapy ◽  
Cell Cycle Control

scholarly journals Involvement of PI3K/Akt pathway in cell cycle progression, apoptosis, and neoplastic transformation: a target for cancer chemotherapy

Leukemia ◽  
2003 ◽  
Vol 17 (3) ◽  
pp. 590-603 ◽  
Author(s):  
F Chang ◽  
J T Lee ◽  
P M Navolanic ◽  
L S Steelman ◽  
J G Shelton ◽  
...  
Keyword(s):  
Cell Cycle ◽  
Cancer Chemotherapy ◽  
Cell Cycle Progression ◽  
Neoplastic Transformation ◽  
Akt Pathway ◽  
Cycle Progression
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